Home Postcode finder TAS Wiltshire Wiltshire postcode TAS Wiltshire is a locality in Tasmania covered by postcode 7321. Postcode 7321 State or territory Tasmania (TAS) Region Tasmania Add a free Wiltshire business listing Be the first listing in Wiltshire Common questionsWhat is the postcode for Wiltshire?Wiltshire, TAS has the postcode 7321.What state is Wiltshire in?Wiltshire is in Tasmania (TAS).Does postcode 7321 cover more than one suburb?Yes. Postcode 7321 covers 35 localities, so the postcode alone does not identify Wiltshire. Browse other postcodes in Tasmania, or widen the search to every Australian postcode.